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Finding the Third Proportional to 155,766 and 337,776

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Solution

The third proportional to 155,766 and 337,776 is: 732,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,766 : 337,776 = 337,776 : x
  2. Step 2: Convert to fraction form
    155,766/337,776 = 337,776/x
  3. Step 3: Cross multiply
    155,766x = 337,776 × 337,776
  4. Step 4: Simplify right side
    155,766x = 114,092,626,176
  5. Step 5: Solve for x
    x = 114,092,626,176/155,766
  6. Step 6: Final answer
    x = 732,461.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.